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Infrared structure of e+e → 3 jets at NNLO

Aude Gehrmann-De Ridder1, Thomas Gehrmann2, E.W. Nigel Glover3 and Gudrun Heinrich4

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We describe the calculation of the next-to-next-to-leading order (NNLO) QCD corrections to three-jet production and related event shape observables in electron-positron annihilation. Infrared singularities due to double real radiation at tree level and single real radiation at one loop are subtracted from the full QCD matrix elements using antenna functions, which are then integrated analytically and added to the two loop contribution. Using this antenna subtraction method, we obtain numerically finite contributions from five-parton and four-parton processes, and observe an explicit analytic cancellation of infrared poles in the four-parton and three-parton contributions. All contributions are implemented in a flexible parton-level event generator programme, allowing the numerical computation of any infrared-safe observable related to three-jet final states to NNLO accuracy.

 
Erratum pages were received on 25 November 2008 and added to the end of the published paper on 16 December 2008.
Keywords

LEP HERA and SLC Physics

Jets

QCD

 

E-print Number: 0710.0346

Cited: by |

Refers: to

PACS

13.66.Bc Hadron production in e-e+ interactions

13.87.Ce Production

12.38.-t Quantum chromodynamics

Subjects

Particle physics and field theory

Dates

Issue 11 (November 2007)

Received 3 October 2007, accepted for publication 8 October 2007

Published 20 November 2007



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